Best shear deformation theories based on polynomial expansions for sandwich beams

Castañeda, W.M.; Yarasca, J.; Mantari, J.L.

doi:10.1016/j.engstruct.2019.04.022

Cited by 6 publications

(2 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Among them, the cubic displacement model proposed by Reddy in the early 1980s [2] is certainly among the most popular [3][4][5], and has paved the way to many models proposed later on, generally motivated by the need to create a consistent and straightforward model able to simulate the mechanical behavior of the new materials and structures now available. For instance, in [6] the authors compare the high-order beam theories available in the literature to describe sandwich beams and based on polynomial expansions, whereas in [7] the authors propose a strain-based geometrically nonlinear beam formulation for structural and aeroelastic modeling and analysis of slender wings of very flexible aircraft. A beam model suitable for meta-materials design in a dynamic setting and formulated directly in a discrete way is recently reported in [8].…”

Section: Introductionmentioning

confidence: 99%

An accurate and refined nonlinear beam model accounting for the Poisson effect

Ruocco

2023

Theoretical and Applied Mechanics - AIMETA 2022

View full text Add to dashboard Cite

Abstract. In this paper, an enhanced beam model based on a 5-parameter displacement field, recently proposed by the authors and able to reproduce the Poisson effect in transverse direction is presented, and utilized to simulate the fully geometrically nonlinear response of elastic beam structures. The adoption of the linear solution as approximation functions for the nonlinear case allows prediction of nonlinear response of problems involving complex geometries with a relatively small computational effort. Several numerical examples of benchmark problems are analyzed, highlighting the characteristic features of the proposed five-parameter model and comparing the results with those obtained using the classical Bernoulli beam model and 3D finite element model.

show abstract

Section: Introductionmentioning

confidence: 99%

An accurate and refined nonlinear beam model accounting for the Poisson effect

Ruocco

2023

Theoretical and Applied Mechanics - AIMETA 2022

View full text Add to dashboard Cite

show abstract

“…34 Castaneda et al. 36 compared the performance of various available HOSDTs based on polynomial expansions using Carrera’s unified formulation (CUF) for analysis of sandwich beams. Recently, Naik and Sayyad 37 and Sayyad and Naik 38 proposed a fifth-order HOSDT-based model for the analysis of laminated composite and sandwich plates.…”

Section: Introductionmentioning

confidence: 99%

Novel higher-order zigzag theory for analysis of laminated sandwich beams

Garg

Chalak

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

View full text Add to dashboard Cite

In the present work, a new higher-order zigzag theory is proposed for the analysis of laminated sandwich beams under static and free vibration conditions. Fourth-order in-plane and transverse displacement fields are chosen along with linear unit Heaviside step function. The present theory satisfies interlaminar transverse stress continuity conditions along with zero value at the top and bottom surface for transverse shear stresses. The proposed approach is also free from any kind of C-1 or penalty requirements. A three-noded one-dimensional finite element having eight degrees of freedom per node is used during analysis. The efficiency of the proposed model is carried out by comparing the present results with those available based on elasticity solutions and zigzag theories in the literature. New results are also reported in the present work, which will serve as a benchmark for future studies. The influence of boundary condition on the nature of stress distribution across the length of beam and frequencies of the beam with different end conditions is also carried out. A comparative study has also been carried out between symmetric and unsymmetric laminated sandwich beam.

show abstract

Bi-directional higher-order shear deformable mixed finite element formulation including couple effects for stresses of functionally graded curved 3d beams

Aribas

2024

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

Best shear deformation theories based on polynomial expansions for sandwich beams

Cited by 6 publications

References 23 publications

An accurate and refined nonlinear beam model accounting for the Poisson effect

An accurate and refined nonlinear beam model accounting for the Poisson effect

Novel higher-order zigzag theory for analysis of laminated sandwich beams

Bi-directional higher-order shear deformable mixed finite element formulation including couple effects for stresses of functionally graded curved 3d beams

Contact Info

Product

Resources

About